Kyle Gann has posted an excellent and thoughtful piece about 12-tone technique, 12-tone music, serialism, teaching, and history. So has Tim Rutherford-Johnson.
It's hard for me to imagine someone designing a compostition curriculum without teaching the basics of 12-tone technique. The more tools you have in your box, the more likely you are to be able to make what you want to make.
And for me, 12-tonery is a constellation of techniques that can be used in combination with others. The music I am writing now doesn't directly use any of those techniques, but the influence is there in many indirect ways. I can't think of any great music that has been written since the propagation of the ideas that isn't influenced by them in some way.